K-5 Math Lesson Plan Teacher: Herbin, Tennyson, Harris, Grade: 5th Williams Unit Title: Understanding the Decimal Place Value System Date(s): September 2012 Corresponding Unit Task: Lesson 2 2012 Summer Olympics— Who Gets the Gold? (Teach prior to task 3) Essential Question(s): How can I compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons? Materials/Resources Essential Vocabulary Greater than > Teacher: Student: Comparing Numbers Powerpoint, Paper, pencil Less than < McDonalds Powerpoint , computer Equal to = with internet capabilities, decimal cards from task 2 Learning Experience 8 Mathematical Practices: √ 1. Make sense of problems and persevere in solving them. √ 2. Reason abstractly and quantitatively. √ 3. Construct viable arguments and critique the reasoning of others. √ 4. Model with mathematics. 5. Use appropriate tools strategically. √ 6. Attend to precision. 7. Look for and make use of structure. √ 8. Look for and express regularity in repeated reasoning. Common Core State Standards: 5.NBT.3b Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. (Correlates to NCSCOS Math Objective 1.01) I Can Statement(s): I can record results of comparisons of decimals to the thousandths. I can compare two decimals to the thousandths based on placement of the digits. I can use the symbol (=) when comparing numbers. I can use the symbol (<) when comparing numbers. I can use the symbol (>) when comparing numbers. Activating Strategy/Hook: (How will students become cognitively engaged and focused?) Watch Video on Gaggle (use your GCS username and password (first three of last name, last four of social) to access. Video Title: Alligator Smashes Watermelon ! Teacher Directed: Use PowerPoint to discuss how to compare decimals using greater than, less than, or equal to in the real world. http://www.authorstream.com/Presentation/afabbro-68217-comparing-orderingdecimals-compare-order-entertainment-ppt-powerpoint/ Stop when necessary to elaborate based on students levels. Guided Practice: Stand up, Hand up, Pair Up Activity Using the decimal cards in task 2 (see end of plan), distribute one decimal card per student. Play music (optional) and allow students to move throughout the room. After a short amount of time, stop the music and students will high five another student, then pair up to discuss if their number is greater than, less than, or equal to their partners number. Use the Random Name Picker (For example: http://primaryschoolict.com/random-name-selector/ ) to choose a pair and discuss Guilford County Schools Office of Curriculum & Instruction May 2012 their answers. Begin music again and repeat activity. Independent Practice: Envisions Textbook p. 12-13 (Problems chosen by teacher based on student need.) Closing/Summarizing Strategy: “Ticket out the door”--Have students compare and order the following three numbers. 19.08 4 x 100 + 5 x 1 + 7 x 1/100 fifty-seven and thirty-three hundredths Differentiation Strategies Extension Intervention Language Development Using the problem of the day PowerPoint Use Comparing numbers First, compare the whole slides found at PowerPoint to help students numbers to the left of the http://www.elemedu.ccs.k12.nc.us/Resource understand comparing whole decimal point. s/Mathnumbers. Walk students Documents/Problem/Problem_of_the_Daythrough the slides and discuss If they are not the same, the Main.htm under fifth grade, quarter 1, use how each answer was derived. smaller decimal number is the http://math.pppst.com/comparing one with the smaller whole slides 15, 16, and 17 to extend thinking. .html number. Have students prove their thinking. For instance, compare 52.432 Then students will chose a decimal number with 45.989 and show it in base ten, number name, and expanded forms. 52 is bigger than 45, so the bigger decimal number is 52.432 We write 52.432 > 45.989 or 45.989 < 52.989 On the other hand, if they are the same, compare the whole number to the right of the decimal point. The smaller decimal number is the one with the smaller whole number on the right of the decimal point. for instance, compare 60.802 with 60.504 Guilford County Schools Office of Curriculum & Instruction May 2012 The whole numbers to the left of the decimal point are equal, so compare the whole numbers to the right of the decimal point. 504 is smaller than 802, so the smaller decimal number is 60.504. We write 60.504 < 60.802 or 60.802 > 60.504 Sometimes, they may not have the same number of decimal places to the right of the decimal point. Just add zero(s) in this case! For instance, compare 10.598 with 10.61 add a 0 after 61 to get 10.610 610 is bigger than 598, so 10.598 < 10.61 Other examples of comparing decimals: 4.7 > 4.4 3.23 < 3.25 7.34 < 7.304 Other times, it may not be obvious which one of the whole numbers to the right of the decimal point is bigger or smaller. In this case, compare each digit to the right of the decimal point starting with the Guilford County Schools Office of Curriculum & Instruction May 2012 tenths place If the digits in the tenths place are equal, compare the digits in the hundredths place, and so forth... for instance, compare 0.043 with 0.00985 Compare 1.2045 with 1.2050 The digits in the tenths place, which are 2 and 2 are equal, so we cannot conclude. The digits in the hundredths place, which are 0 and 0 are equal, so we cannot conclude The digits in the thousandths place are 4 and 5. 4 < 5, so 1.2045 < 1.2050 Assessment(s): Collect Ticket out the door and check for accuracy. Teacher Reflection: (Next steps?) • What went well? • Student understanding/misconceptions. • Specific notes about students’ thinking. • What do I need to reteach/review tomorrow or in the future? • New ideas or changes for next time? Guilford County Schools Office of Curriculum & Instruction May 2012 Decimal Cards 32.526 32.425 33.652 52.015 52.150 52.051 15.258 15.589 15.125 52.015 52.150 52.051 147.851 147.185 147.581 Guilford County Schools Office of Curriculum & Instruction May 2012 8.007 8.700 8.070 .068 .680 .860 .008 .095 .086 1.524 52.150 52.051 2.352 23.520 235.200 Guilford County Schools Office of Curriculum & Instruction May 2012